Integrability and Seiberg-Witten Theory: Curves and Periods
arXiv:hep-th/9511126 · doi:10.1016/0550-3213(96)00358-6
Abstract
Interpretation of exact results on the low-energy limit of SUSY YM in the language of integrability theory is reviewed. The case of elliptic Calogero system, associated with the flow between and SUSY in , is considered in some detail.
26 pages
References in corpus (15)
- Massless Black Holes and Conifolds in String Theory
- Supersymmetric Yang-Mills Systems And Integrable Systems
- Integrability and Seiberg-Witten Exact Solution
- Instantons and recursion relations in N=2 Susy gauge theory
- Integrable systems and supersymmetric gauge theory
- Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
- On the Quantum Moduli Space of Vacua of Supersymmetric Gauge Theories
- Prepotentials of Supersymmetric Gauge Theories and Soliton Equations
- On the Monodromies of N=2 Supersymmetric Yang-Mills Theory with Gauge Group SO(2n)
- On the Relation Between the Holomorphic Prepotential and the Quantum Moduli in SUSY Gauge Theories
- Whitham-Toda hierarchy and N = 2 supersymmetric Yang-Mills theory
- The Moduli Space and Monodromies of N=2 Supersymmetric \(SO(2r+1) \) Yang-Mills Theory
- Integrable Structures in Supersymmetric Gauge and String Theory
- Prepotentials in N=2 SU(2) Supersymmetric Yang-Mills Theory with Massless Hypermultiplets
- Koebe 1/4-Theorem and Inequalities in N=2 Super-QCD
Cited by in corpus (100)
- Wall-crossing, Hitchin Systems, and the WKB Approximation
- Nekrasov Functions and Exact Bohr-Sommerfeld Integrals
- On AGT relation in the case of U(3)
- Defects and Quantum Seiberg-Witten Geometry
- Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
- Affine SL(2) conformal blocks from 4d gauge theories
- Conformal blocks as Dotsenko-Fateev Integral Discriminants
- Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
- Nekrasov Functions from Exact BS Periods: the Case of SU(N)
- Calogero-Moser Lax Pairs with Spectral Parameter for General Lie Algebras
- RG Equations from Whitham Hierarchy
- On AGT Relations with Surface Operator Insertion and Stationary Limit of Beta-Ensembles
- Instantons and Merons in Matrix Models
- Prepotential and the Seiberg-Witten Theory
- Matrix models vs. Seiberg-Witten/Whitham theories
- A direct proof of AGT conjecture at beta = 1
- On Painlevé/gauge theory correspondence
- N=2 supersymmetric dynamics for pedestrians
- Zamolodchikov asymptotic formula and instanton expansion in N=2 SUSY N_f=2N_c QCD
- The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
- The ABCDEFG of Instantons and W-algebras
- Classification of 4d N=2 gauge theories
- On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2)
- The matrix model version of AGT conjecture and CIV-DV prepotential
- Non-Abelian Vortices in N=1* Gauge Theory
- Whitham Hierarchies, Instanton Corrections and Soft Supersymmetry Breaking in N=2 SU(N) Super Yang-Mills Theory
- Towards a proof of AGT conjecture by methods of matrix models
- Brezin-Gross-Witten model as "pure gauge" limit of Selberg integrals
- The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory
- Instanton Expansions for Mass Deformed N=4 Super Yang-Mills Theories
- Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras
- Commuting Hamiltonians from Seiberg-Witten Theta-Functions
- Can Renormalization Group Flow End in a Big Mess?
- Seiberg-Witten Geometries Revisited
- Check of AGT Relation for Conformal Blocks on Sphere
- Seiberg-Witten theory for a non-trivial compactification from five to four dimensions
- N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
- A slow review of the AGT correspondence
- Partial Breaking of N=2 Supersymmetry and of Gauge Symmetry in the U(N) Gauge Model
- Solving N=2 SYM by Reflection Symmetry of Quantum Vacua
- Spectral duality in elliptic systems, six-dimensional gauge theories and topological strings
- Experiments with the WDVV equations for the gluino-condensate prepotential: the cubic (two-cut) case
- An M-Theoretic Derivation of a 5d and 6d AGT Correspondence, and Relativistic and Elliptized Integrable Systems
- 5d and 6d Supersymmetric Gauge Theories: Prepotentials from Integrable Systems
- Integrable structures and duality in high-energy QCD
- Non-holomorphic terms in N=2 SUSY Wilsonian actions and RG equation
- Classical irregular block, N=2 pure gauge theory and Mathieu equation
- Supersymmetric U(N) Gauge Model and Partial Breaking of N=2 Supersymmetry
- Insights and Puzzles from Branes: 4d SUSY Yang-Mills from 6d Models
- Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
- Quantum Hitchin Systems via beta-deformed Matrix Models
- Les Houches Lectures on Fields, Strings and Duality
- The periodic and open Toda lattice
- Strong coupling expansion and Seiberg-Witten-Whitham equations
- On 2d TQFTs whose values are holomorphic symplectic varieties
- Supereigenvalue Model and Dijkgraaf-Vafa Proposal
- Whitham Prepotential and Superpotential
- Seiberg-Witten curves and double-elliptic integrable systems
- Covariance of WDVV equations
- Elliptic models and M-theory
- Maulik-Okounkov's R-matrix from Ding-Iohara-Miki algebra
- Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
- ε-Corrected Seiberg-Witten Prepotential Obtained From Half Genus Expansion in beta-Deformed Matrix Model
- Geometric construction of elliptic integrable systems and N=1^* superpotentials
- p,q-Duality and Hamiltonian Flows in the Space of Integrable Systems or Integrable Systems as Canonical Transforms of the Free Ones
- The N=1* Theories on R^{1+2} X S^1 with Twisted Boundary Conditions
- Flat Coordinates, Topological Landau-Ginzburg Models and the Seiberg-Witten Period Integrals
- Solutions to the reflection equation and integrable systems for N=2 SQCD with classical groups
- Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling
- Integrable structure in supersymmetric gauge theories with massive hypermultiplets
- Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry II
- Matching branches of non-perturbative conformal block at its singularity divisor
- Baxter's T-Q equation, SU(N)/SU(2)^{N-3} correspondence and Ω-deformed Seiberg-Witten prepotential
- On Equivalence of two Hurwitz Matrix Models
- Challenges of Matrix Models
- Space-wave function duality and enhanced dKdV on a Riemann surface
- Elliptic lift of the Shiraishi function as a non-stationary double-elliptic function
- Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
- Whitham Deformations of Seiberg-Witten Curves for Classical Gauge Groups
- BPS Geodesics in N=2 Supersymmetric Yang-Mills Theory
- Chiral observables and S-duality in N = 2* U(N) gauge theories
- Combinatorial approach to Mathieu and Lamé equations
- New non-linear equations and modular form expansion for double-elliptic Seiberg-Witten prepotential
- Modular properties of 6d (DELL) systems
- Topological Field Theory and Second-Quantized Five-Branes
- N=1 G_2 SYM theory and Compactification to Three Dimensions
- WDVV equation and Triple-product Relation
- New results in theories from non-perturbative string
- N=2 supersymmetric gauge theories and quantum integrable systems
- On Effective Superpotentials and Compactification to Three Dimensions
- Orientifold 4-plane in brane configurations and N=4 USp(2Nc) and SO(Nc) theory
- Elliptic analog of the Toda lattice
- Elliptic solutions to the KP hierarchy and elliptic Calogero-Moser model
- N=2 Super-Conformal Filed Theory on the Basis of osp(2|2)
- M-Theory Five-brane Wrapped on Curves for Exceptional Groups
- Planar Homological Mirror Symmetry
- Dual Isomonodromic Problems and Whitham Equations
- Integrability, Jacobians and Calabi-Yau Threefolds
- Integrable hierarchies in Donaldson-Witten and Seiberg-Witten theories
- Direct Derivation of Scaling Relation of Prepotential in N=2 Supersymmetric G_2 Yang-Mills Theory